
Journal of Lie Theory 11 (2001), No. 2, 381413 Copyright Heldermann Verlag 2001 The Closure Diagrams for Nilpotent Orbits of Real Forms of E_{6} Dragomir Z. Dokovic Dept. of Pure Mathematics, University of Waterloo, Waterloo, Ont. N2L 3G1, Canada Let O_{1} and O_{2} be adjoint nilpotent orbits in a real semisimple Lie algebra. Write O_{1} ≥ O_{2} if O_{2} is contained in the closure of O_{1}. This gives a partial order on the set of such orbits, which is known as the closure ordering. We determine this ordering for the adjoint nilpotent orbits of the four noncompact real forms of the simple complex Lie algebra E_{6}. [ Fulltextpdf (283 KB)] 